A Linear-Time Constant-Space Algorithm for Computing the Spanning Line Segments in Three Dimensions

碩士 === 國立臺灣科技大學 === 資訊工程研究所 === 87 === Owing to the properties of the completeness and inseparability, the set of spanning line segments (SLS) is a good representation for a three--dimensional (3-D) polyhedron and is useful in testing the intersection between a plane and that 3--D polyhed...

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Main Authors: Shyh-Ming Chang, 張世明
Other Authors: Kuo-Liang Chung
Format: Others
Language:en_US
Published: 1999
Online Access:http://ndltd.ncl.edu.tw/handle/96179985990348703970
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spelling ndltd-TW-087NTUST3920062016-02-01T04:12:44Z http://ndltd.ncl.edu.tw/handle/96179985990348703970 A Linear-Time Constant-Space Algorithm for Computing the Spanning Line Segments in Three Dimensions 一個在三維空間計算生成線段之線性時間及常數空間的演算法 Shyh-Ming Chang 張世明 碩士 國立臺灣科技大學 資訊工程研究所 87 Owing to the properties of the completeness and inseparability, the set of spanning line segments (SLS) is a good representation for a three--dimensional (3-D) polyhedron and is useful in testing the intersection between a plane and that 3--D polyhedron. Given a3--D polyhedron with N vertices, this paper presents an incremental O(N)-time algorithm for constructing the SLS. The proposed algorithm has the same time complexity as the previous best result [4], but it reduces the working memory required in [4] from O(N) to O(1). Kuo-Liang Chung 鍾國亮 1999 學位論文 ; thesis 28 en_US
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description 碩士 === 國立臺灣科技大學 === 資訊工程研究所 === 87 === Owing to the properties of the completeness and inseparability, the set of spanning line segments (SLS) is a good representation for a three--dimensional (3-D) polyhedron and is useful in testing the intersection between a plane and that 3--D polyhedron. Given a3--D polyhedron with N vertices, this paper presents an incremental O(N)-time algorithm for constructing the SLS. The proposed algorithm has the same time complexity as the previous best result [4], but it reduces the working memory required in [4] from O(N) to O(1).
author2 Kuo-Liang Chung
author_facet Kuo-Liang Chung
Shyh-Ming Chang
張世明
author Shyh-Ming Chang
張世明
spellingShingle Shyh-Ming Chang
張世明
A Linear-Time Constant-Space Algorithm for Computing the Spanning Line Segments in Three Dimensions
author_sort Shyh-Ming Chang
title A Linear-Time Constant-Space Algorithm for Computing the Spanning Line Segments in Three Dimensions
title_short A Linear-Time Constant-Space Algorithm for Computing the Spanning Line Segments in Three Dimensions
title_full A Linear-Time Constant-Space Algorithm for Computing the Spanning Line Segments in Three Dimensions
title_fullStr A Linear-Time Constant-Space Algorithm for Computing the Spanning Line Segments in Three Dimensions
title_full_unstemmed A Linear-Time Constant-Space Algorithm for Computing the Spanning Line Segments in Three Dimensions
title_sort linear-time constant-space algorithm for computing the spanning line segments in three dimensions
publishDate 1999
url http://ndltd.ncl.edu.tw/handle/96179985990348703970
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